Answer:
[tex]144 \times \pi = 452.38[/tex]
Answer:
144π ft² or approximately 452.16 ft²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.
Approximation of Pi:
[tex]3.14 *12^2[/tex] [tex]3.14*144[/tex] [tex]452.16[/tex] 452.16 ft²In terms of Pi:
[tex]\pi *12^2[/tex] [tex]\pi *144[/tex] [tex]144\pi[/tex] 144π ft²WILL MARK BRAINLIEST IF CORRECT!!! Circle the Terms, underline the coefficients, and put a box around each constant in the variable expressions below.
16ab+5c+8
2l+2w
H+W+L
Answer: The coefficients are: 16ab, 5c, and 2w. The terms are: 16ab, 5c, 8, 21, 2w, H, W, and L. The constants are: 8 and 21. And the variables are: H, W, and L.
solve pls brainliest
Answer:
100
Step-by-step explanation:
Lets solve this the easiest way possible :)
120/6 = 20
Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.
20 x 5 = 100
They sold 100 copies :)
Hope this helps!!!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
100
Step-by-step explanation:
5 120
----- ------
6 1
=
600
------- = 100
6
Question in photo! (Please help with other questions!)
Answer:
b) [tex]a_{n}[/tex] = 2 + 2/5n
Step-by-step explanation:
Given :-
a = 12/5
d = 2/5
To Find :-
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
= 12/5 + 2/5n - 2/5
= 2 + 2/5n
Solution :-
b) [tex]a_{n}[/tex] = 2 + 2/5n
Please help me with the two questions attached below.
Answer:
3. 15 outcomes
5. 72 outcomes
Step-by-step explanation:
5 x 3 = 15
(2 x 3) x 12 = 72
2 x 3 = 6
6 x 12 = 72
Mrs Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. **Must show plug in step before using calculator
Answer:
(a) [tex]A=1600(1+\frac{0.0375}{12})^{12t}[/tex]
(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)
(b) $1,929.40
Step-by-step explanation:
Compound interest formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A is the amountP is the principalr is the interest rate (in decimal form)t is timen is the number of times the interest is compounded per unit of tGiven:
P = $1600r = 3.75% = 3.75/100 = 0.0375t = number of yearsn = 12 (as the interest is compounded monthly and t is number of years)Substituting these values into the formula:
[tex]\implies A=1600(1+\frac{0.0375}{12})^{12t}[/tex]
(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)
Part (b)
Substitute [tex]t=5[/tex] into the equation created in part (a):
[tex]\implies A=1600(1+\frac{0.0375}{12})^{12\cdot 5}[/tex]
[tex]\implies A=1600(1.003125)^{60}[/tex]
[tex]\implies A=1929.404236...[/tex]
[tex]\implies A=1929.40[/tex]
Therefore, her account balance after 5 years will be $1,929.40
463.70
500.45
218.70
253.10
Answer:
463.70 or 500.45
Help pleaseeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:it’s the third answer choice
Step-by-step explanation:
How to make 2.5 a fraction
Jaime is a pet groomer and charges $30 for an initial consultation, then $40 per hour to groom a pet. Jon charges only $50 per hour to groom a pet. In how many hours will the two groomers change the same price?
Answer:
3 hoursStep-by-step explanation:
let us first model the amount that Jaime and Jon will charge
let the total amount be y and let the number of hours be x
Jaime will charge
y=30+4x------1
Jone will charge
y=50x-----2
equating 1 and 2 we can solve for x which is the number of months Jaime and Jon will charge the same price
50x=30+40x
50x-40x=30
10x=30
divide both sides by 10 we have
x=30/10
x=3
What is the square root of 5?
Answer:
2.2360679775
Step-by-step explanation:
Answer:
2.2360679775
Step-by-step explanation:
What are the values of x and y?
Answer:
Y=45 X=90
Step-by-step explanation:
B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.
Answer:
y=45°(angles opposite to equal sides are equal)
x+y+45=180(sum of the interior angles of a triangle is 180)
x+45+45=180
y+90=180
y=180-90
y=90
Step-by-step explanation:
If you want to buy an item in a store that costs $50 and is on sale for 10% off, then
how much would the item actually cost you after the discount? Round to the nearest
cent.
Answer:
It would be $45.00.
Step-by-step explanation:
50 divided by 10 would be 5. Subtract that from 50 to get 45.
Answer:
$45.00
Step-by-step explanation:
If an item cost $50 and the discount is 10% then:
Convert 10% to a decimal
10/100 = .1
.1 * $50 = $5
The discount is $5, subtract the discount from the original amount.
$50 - $5 = $45
The item would cost $45.00 after the discount.
-2(4a+4b)+5a>-35
Solve the inequality
Step-by-step explanation:
-2 (4a + 4b) + 5a > -35
-8a -8b + 5a > -35
-3a -8b > -35
for a
-3a > -35 + 8b
a < -35 + 8b ÷ -3
a < 35 - 8b ÷ 3
for b
-3a - 8b > -35
-8b > -35 + 3a
b < -35 + 3a ÷ -8
b < 35 - 3a ÷ 8
(4x - 58)
(3x – 26)
(3x + 14)
Solve for x
Answer:
can't solve this
Step-by-step explanation:
A computer processes information in nanoseconds. A nanosecond is one billionth of a second. Write this number as decimal.
Answer:
0.00000001
Step-by-step explanation:
Answer:
0.000000001
Step-by-step explanation:
Ricardo is copying angle BCD below.
Which is the next step in Ricardo's construction?
A. Draw an arc and label the intersection point V.
B. Place the point of the compass on point Y and
adjust the width to point X.
C. Draw TU and point R on TU
D. Draw VU and point R on VU
Answer: C) Draw segment TU and point R on segment TU.
The construction he set up so far is pretty much almost done. If he draws a ray through points T and U (with T as the endpoint), then ray TU combines with ray TS to get angle STU. This angle is congruent to angle BCD.
The point R is introduced so that we call this angle STR instead of angle STU, but it's the same basic idea. You could also replace "ray" with "line" or "line segment" to get the same basic construction of copying an angle.
State if the three numbers can be the measures of the sides of a triangle
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle
Step-by-step explanation:
ONLY URSONET ANSWER|||||||
53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.
It's tricky because everybody is used to seeing 50+50=100
50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103
Which expression is equivalent to 2(m - 4) + 1?
O2m - 7
O2m - 3
O2m + 9
O2m + 10
Answer:
2m-8+1=2m-7
Step-by-step explanation:
Quentin recorded the weather for the past days. It rained on 28 of the days. Which fraction and decimal represent how many days it rained? 28 O A 2.8 and 100 O'B. 0-28 and 210 OC. 0.28 and 28 100 O D. 0.28 and
Answer:
I don't know which letter answer it is because it is unclear in the question, but the answer is:
28/100 for the fraction
0.28 for the decimal
How do you write 4.9 × 102 in standard form?
Answer:
0.00000049
I believe this is right if not I apologize
I need help with this!
Answer:
Dear Friend here is your answer.
Each week you notice
more and more squirrels in
your front yard. At the end
of the first week you notice
5 squirrels. At the end of
the second week you see 8
and by the end of the third
week there are 11. If they
continue to move to your
yard at the same rate how
many squirrels will there be
after 28 week
Answer:
140 squirrels
Step-by-step explanation:
first week, there are 5 squirrels.
second week, there are 8 squirrels.
third week, there are 11 squirrels.
let's calculate the amount of squirrels at the end of 28 weeks. from the statement given, an addition of 3 squirrels for every week.
by cross multiply method:
5 squirrels = 1 week
x squirrels = 28 weeks
x = 28 x 5
x = 140 squirrels.
so you will have an amount of 140 squirrels after 28 weeks.
4(6-3g) algebraic expressions
Please help ! Which net represents the figure?
Answer:
It is c
Step-by-step explanation:
When you fold it up, it makes a box just like the solid figure.
Have an amazing day!
PLEASE RATE!!
Select the correct answer from each drop-down menu.
The figure shown consists of a square pyramid on top of a square prism. The surface area of the figure is 432 cm2. The height of the prism is three times the height of the pyramid.
Find the heights of the pyramid and the prism.
The height of the pyramid is
cm.
The height of the prism is
cm.
Answer:
height of pyramid = 3 cm
height of prism = 9 cm
Step-by-step explanation:
Square Pyramid
surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm
[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]
[tex]=16\sqrt{16+h^2}[/tex]
Square Prism
surface area of square prism with one base = [tex]a^2+4ah[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h
[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]
[tex]=64+96h[/tex]Total surface area
total SA = SA of pyramid + SA of square prism
Given total SA = 432 cm²
[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]
[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]
[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]
[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]
[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]
[tex]\implies (23-6h)^2=16+h^2[/tex]
[tex]\implies 529-276h+36h^2=16+h^2[/tex]
[tex]\implies 35h^2-276h+513=0[/tex]
[tex]\implies (h-3)(35h-171)=0[/tex]
[tex]\implies h=3, h=\dfrac{171}{35}[/tex]
Inputting both values of [tex]h[/tex] into the equations for SA:
when [tex]h = 3[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]
[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]
when [tex]h=\dfrac{171}{35}[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]
[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]
Therefore, h = 3 only (since the total area is 432 cm²)
⇒ height of pyramid = 3 cm
⇒ height of prism = 3h = 3 × 3 = 9 cm
Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?
Answer:
16 ounces
Step-by-step explanation:
x, quantity of the 5%
24-x, quantity of the 20%
5%x + 20%(24-x) = 10% of 24
.05x + .20(24-x) = .10 * 24
.05x + 4.8 - .20x = .10 * 24
4.8 -.15x = 2.4
2.4 = .15x
.15x = 2.4
x = 2.4/.15
x = 16
4.1 Provide with reason 6 angles that are equal to x
Step-by-step explanation:
1. ∠EBC = x (Theorem One: The angle at the centre of the circle is twice the angle at the circumference subtended on the same arc. You already have this one labelled)
2. ∠FCD = x (F rule / corresponding angles are equal)
3. ∠CAE = x (Theorem Two: Angles at the circumference subtended by the same arc are congruent)
4. ∠BED = ∠DCF = ∠FCD = x (Theorem Fifteen: The exterior angle of a cyclic quadrilateral is congruent to the interior opposite angle)
5. ∠CDF = ∠BED = x (F rule / corresponding angles are equal)
6. ∠CAE = ∠OAE = ∠OEA = x (CAE and OAE are the same angles, OF and OA are radii, thus they must both be equivalent in magnitude, therefore making the triangle ΔAOE isosceles. Base angles of an isosceles triangle are always equal, since we knew ∠OAE from '3.' was x, we found that ∠OEA was also x)
f(x) = -7x - 1
f() = -8
Answer:
Step-by-step explanation:
Match each statement with its symbolic notation.
Answer:
4. F
5.C
6.G
7.D
8.A
9.E
10.B
Step-by-step explanation: